The Weiss Conjecture for Bounded Analytic Semigroups

85 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

γ-Radonifying Operators: A Survey (2010, result): “[75] C. Le Merdy, The Weiss conjecture for bounded analytic semigroups, J. London Math.”
Admissibility of Control and Observation Operators for Semigroups: A Survey (2004, background): “In [53] it is shown that if the semigroup is analytic and the underlying space has cotype 2, then the existence of a bounded H(Σα) functional calculus (cf.”
H^\infty functional calculus and square function estimates for Ritt operators (2012, background): “2 in [37], one obtains an equivalence ∥∥∥∑ m tm em ∥∥∥ T,1 ≈ (∑”
On continuity of solutions for parabolic control systems and input-to-state stability (2017, methodology): “Setting our results, in particular Theorem 10, in context with Le Merdy’s characterization of when the L2-Weiss conjecture holds true, [26], we arrive at the following list of equivalent conditions:”